Variational formulation in the analysis of finite elastic-plastic deformation
Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 93
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In order to determine the history of the distribution of the stress and deformation state in the process of elasto-plastic deformation, it is necessary to perform integration over time during the entire deformation process. This can be achieved after formulating a suitable variational principle that is valid under conditions of finite deformations, and in which a constitutive law of incremental type for elasto-plastic deformation is incorporated. The finite element method is then the most suitable for determining the numerical solution of specific problems.
Bearing the above in mind, in this work a potential function with a corresponding variational integral was derived for the case of isothermal and isotropic, time-independent elasto-plastic deformation.
@article{TAM_1985_11_1_a8,
author = {Vlado Lubarda},
title = {Variational formulation in the analysis of finite elastic-plastic deformation},
journal = {Theoretical and applied mechanics},
pages = {93 },
year = {1985},
volume = {11},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a8/}
}
Vlado Lubarda. Variational formulation in the analysis of finite elastic-plastic deformation. Theoretical and applied mechanics, Tome 11 (1985) no. 1, p. 93 . http://geodesic.mathdoc.fr/item/TAM_1985_11_1_a8/